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Point P is located 2/5 of the distance from W to Z. Point W is located at (-5, -2) and point P is located at (1, 4). What are the coordinates of point Z?

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abidemiokin

The coordinates of point Z is (-5/7, 16/7)

Calculating the midpoint of a line using a ratio

The formula for calculating a coordinate points using the points (-5, -2) and point P is located at (1, 4) in the ratio 2:5 is expressed as:

Z (x, y) = {(ax₁+bx₂)/a+b, (ay₁+by₂)/a+b}

Substitute the coordinates and ratios to have;

Z (x, y) = {(2(-5)+5(1))/2+5, (2(-2)+5(4))/2+5}

Z(x, y) = {-10+5/7, -4+20/7}

Z(x, y) = (-5/7, 16/7)

Hence the coordinates of point Z is (-5/7, 16/7)

Learn more on midpoint here; https://brainly.com/question/5566419

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